Question

The value of a machine depreciates 10% every year. if its present value is 39,340. what was its value 4year ago.

Answer 1

39340*4*10%100=63715

Answer 2

15736

Step-by-step explanation:

Given:

Present value of machine (P V) = 39,340

Depreciation Rate(r) = 10% = 0.1

Number of year (n) = 4

Value of machine 4 year ago = ?

Calculation:

$Value \ of \ machine \ 4 \ year \ ago = \frac{PV}{(1-\frac{r}{100})^{n} }\\Value \ of \ machine \ 4 \ year \ ago = \frac{39,340}{(1-\frac{10}{100})^{4} }\\Value \ of \ machine \ 4 \ year \ ago = \frac{39,340}{(\frac{90}{100} )^{4} }\\Value \ of \ machine \ 4 \ year \ ago = \frac{39,340}{0.6561 }\\ = 59960$

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